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11373494400 = 273252557709
BaseRepresentation
bin10101001011110100…
…11100000010000000
31002100122020101020100
422211322130002000
5141243103310100
65120325242400
7551563051542
oct124572340200
932318211210
1011373494400
11490704a754
122254b63400
1310c3418658
1479c735692
15468769400
hex2a5e9c080

11373494400 has 288 divisors, whose sum is σ = 40713437700. Its totient is φ = 3023216640.

The previous prime is 11373494393. The next prime is 11373494471. The reversal of 11373494400 is 449437311.

11373494400 is a `hidden beast` number, since 1 + 137 + 34 + 94 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 428986944 + 10944507456 = 20712^2 + 104616^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16041246 + ... + 16041954.

Almost surely, 211373494400 is an apocalyptic number.

11373494400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11373494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20356718850).

11373494400 is an abundant number, since it is smaller than the sum of its proper divisors (29339943300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11373494400 is a wasteful number, since it uses less digits than its factorization.

11373494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 11373494400 in words is "eleven billion, three hundred seventy-three million, four hundred ninety-four thousand, four hundred".